Some results on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si6.gif"><mml:mi>h</mml:mi></mml:math>-almost Ricci solitons

Ghahremani-Gol, Hajar

doi:10.1016/j.geomphys.2018.12.002

Cited by 6 publications

(6 citation statements)

References 8 publications

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“…Hence, we have . Considering this with the equation (5) gives us to (33) which implies is a nontrivial conformal vector field. So from Theorem 3 we obtain that is isometric to an Euclidean sphere .…”

Section: Proofs Of the Resultsmentioning

confidence: 99%

“…is isometric to an Euclidean sphere . Finally, for compact gradient -almost solitons, we present an integral formula which is a generalization of similar one obtained in [2] and [5].…”

Section: Theorem 3 If Is a Compact -Almost Soliton With And Is A Nontmentioning

confidence: 88%

“…Moreover, they also give characterizations for a special class of gradient -Ricci solitons. Recently, some equations of structure for -almost Ricci soliton are shown by Ghahremani-Gol [5]. The author obtain an integral formula for the compactalmost Ricci soliton and prove that a compact nontrivial -almost Ricci soliton is isometric to a Euclidean sphere.…”

Section: Thementioning

confidence: 99%

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ON RICCI-BOURGUIGNON h-ALMOST SOLITONS IN RIEMANNIAN MANIFOLDS

Soylu

2020

J. Sci. Arts

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In this paper, we shall give some structure equations for RB h-almost solitons which generalize previous results for Ricci almost solitons. As a consequence of these equations we also derive an integral formula for the compact gradient RB h-almost solitons which enables us to show that a compact nontrivial almost Ricci soliton is isometric to a sphere provided either it has constant scalar curvature or its associated vector field is conformal.

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Section: Proofs Of the Resultsmentioning

confidence: 99%

“…is isometric to an Euclidean sphere . Finally, for compact gradient -almost solitons, we present an integral formula which is a generalization of similar one obtained in [2] and [5].…”

Section: Theorem 3 If Is a Compact -Almost Soliton With And Is A Nontmentioning

confidence: 88%

Section: Thementioning

confidence: 99%

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ON RICCI-BOURGUIGNON h-ALMOST SOLITONS IN RIEMANNIAN MANIFOLDS

Soylu

2020

J. Sci. Arts

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“…If in Ricci soliton (1.2), λ be a function λ : M → R then it called almost Ricci soliton. In [21,12] have been investigated the almost Ricci soliton. Also, if there exist a function β : M → R such that (1.3) βL V g + 2S + 2λg = 0, then this soliton is called β-almost Ricci soliton which studied in [12,13].…”

Section: Introductionmentioning

confidence: 99%

$β$-almost solitons on almost co-kähler manifolds

Azami

2020

Preprint

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The object of the present paper is to study β-almost Yamabe solitons and β-almost Ricci solitons on almost co-Kähler manifolds. In this paper, we prove that if an almost co-Kähler manifold M with the Reeb vector field ξ admits a β-almost Yamabe solitons with the potential vector field ξ or bξ, where b is a smooth function then manifold is K-almost co-Kähler manifold or the soliton is trivial, respectively. Also, we show if a closed (κ, µ)-almost co-Kähler manifold with n > 1 and κ < 0 admits a β-almost Yamabe soliton then the soliton is trivial and expanding. Then we study an almost co-Kähler manifold admits a β-almost Yamabe soliton or β-almost Ricci soliton with V as the potential vector field, V is a special geometric vector field.

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“…Physical properties of aqueous solutions of short-chain alcohols, such as density, viscosity, surface tension, contact angles, refractive index, were investigated and quoted by many authors [1][2][3][4][5][6]. They include the parameters found in the Washburn equation that describes the flow of liquid through a bundle of cylindrical capillaries, which can also describes the imbibition of liquids into porous materials: (1) where: l -the length of the wetted section of the capillary, r -the radius of the capillary (pore), σthe surface tension of the liquid, θ -the wetting angle of the material with liquid, τtime of wetting, ηliquid viscosity.…”

Section: Introductionmentioning

confidence: 99%

Wetting properties of aqueous short-chain alcohols’ solutions

Mizerski

2018

MATEC Web Conf.

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The article presents results of research on the wetting ability of aqueous solutions of short-chain alcohols in relation to selected hydrophobic materials. Polyethylene and Teflon were used as standard hydrophobic smooth materials. Dried peat with granulation d < 0.5 mm was used as the porous hydrophobic material. Physical properties of alcohols and their solutions having a direct influence on the rate of saturation of capillary layers have been discussed. The wettability of smooth surfaces was characterized by the advancing and receding contact angles and wetting tension, defined as the product of the liquid surface tension and cosine of contact angle. The contact angles were determined by Wilhelmy's method using the Krüss K-100 tensiometer. Wettability of peat was determined by measuring the mass rate of liquid imbibition by capillary forces. For comparison, analogous tests of wettability and capillary imbibition rates were carried out using sodium dodecyl sulfate solutions and solutions of typical wetting agent used in firefighting activities. The solutions of surfactants, in the range of concentrations used in extinguishing operations, showed much better wetting properties in relation to a smooth hydrophobic surface (polyethylene) than solutions of alcohols in the entire range of concentrations (up to 100%). The imbibition capacity of the hydrophobic peat layers of alcohol solutions with concentrations above 10% was higher than the solutions of surfactants. * Corresponding autor: amizerski@sgsp.edu.pl

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Some results on h-almost Ricci solitons

Cited by 6 publications

References 8 publications

ON RICCI-BOURGUIGNON h-ALMOST SOLITONS IN RIEMANNIAN MANIFOLDS

ON RICCI-BOURGUIGNON h-ALMOST SOLITONS IN RIEMANNIAN MANIFOLDS

$β$-almost solitons on almost co-kähler manifolds

Wetting properties of aqueous short-chain alcohols’ solutions

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